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5074200 = 2332522819
BaseRepresentation
bin10011010110110100011000
3100112210111100
4103112310120
52244333300
6300431400
761062405
oct23266430
910483440
105074200
11295635a
121848560
1310887b1
149612ac
156a3700
hex4d6d18

5074200 has 72 divisors (see below), whose sum is σ = 17046900. Its totient is φ = 1352640.

The previous prime is 5074189. The next prime is 5074207. The reversal of 5074200 is 24705.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5074207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 391 + ... + 3209.

Almost surely, 25074200 is an apocalyptic number.

5074200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5074200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8523450).

5074200 is an abundant number, since it is smaller than the sum of its proper divisors (11972700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5074200 is a wasteful number, since it uses less digits than its factorization.

5074200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5074200 is about 2252.5984995112. The cubic root of 5074200 is about 171.8393127008.

Adding to 5074200 its reverse (24705), we get a palindrome (5098905).

The spelling of 5074200 in words is "five million, seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2819 5638 8457 11276 14095 16914 22552 25371 28190 33828 42285 50742 56380 67656 70475 84570 101484 112760 126855 140950 169140 202968 211425 253710 281900 338280 422850 507420 563800 634275 845700 1014840 1268550 1691400 2537100 5074200